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2 years ago

Apply the Distributive Property to Simplify the Expression 9 (4 1/3)

Mathematics

1 answer:

pychu [463]2 years ago

7 0

9 (4 1/3)
Answer= 39

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Help I don’t know it

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Answer:

use socratic

Step-by-step explanation:

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3 years ago

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What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

Binomial Series

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

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1 year ago

A 30 feet ladder is leaning against the wall. The top of the ladder is resting 25 feet on the building. How far is the base of t

g100num [7]

Answer:

16.58 feet

Step-by-step explanation:

a² + b² = c²

Think of this as a right triangle

The hypotenuse is 30, and one of the legs is 25

To find the other leg, subtract the square of the hypotenuse by the square of the given leg

30² - 25² = leg

900 - 625 = 275

Square root the answer to find the length of the missing leg

√275 = 16.583123951777

The leg is 16.58 ft.

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1 year ago

How do you divide 2 / 7367

Helen [10]

Answer:

0.00027148092

Step-by-step explanation:

calculator lol

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3 years ago

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What properties will you use next to solve the equation

ella [17]

Answer:

To solve an equation you can use PEMDAS, standing for parenthesis, exponents, multiplication, division and addition. If it's an equation like, x/3+7+13, you could use the distributive property. By separating variables.

Step-by-step explanation:

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3 years ago